Quantitative Aptitude: Simple/Compound Interest Set 15

1. A principal was put at a certain rate of interest for four years. Had it been put at a rate of interest 4% higher than the previous rate interest, it would have fetched Rs. 80 more. What is the principal?
   Rs 450
   Rs 500
   Rs 400
   Rs 550
   None of these
   Option B
   y*4*(r+4)/100 – (y*4*r)/100 =80
   4yr+16y – 4yr = 8000
   y= 8000/16 =Rs 500
   
    



2. A bottle is priced at 15000 Rs. But a person wants instalment on the bottle. So he gaves 10000 rupee cash and make an installment of Rs 650 for 8 months. Find the rate of interest charged by the shopperson?
   4%
   6%
   3%
   8%
   None of these
   Option B
   Total amount buyer gives = 10000 + 650*8 = 15200
   =, 200 = 5000*(8/12)*R/100
   
    



3. Shivani invested 20000 rupee in FD at the rate of 10% simple interest. After every 3rd year she added interest to principal. Find the interest earned at end of 6th year?
   Rs 7500
   Rs 7400
   Rs 7800
   Rs 7600
   None of these
   Option C
   For the first 3 years Simple Intrest will be = 20000*10/100*3 = Rs 6000
   Now she add Rs 3000 to the principal= 20000+6000 = Rs 26000
   Now interest earned at end of 6th year = 26000*10/100*3 =Rs 7800
   
    



4. The SI on a certain sum is 4/9 th of principal and numbers of year is equal to the rate of interest. The rate of interest will be which of the following?
   20/3 %
   16/3%
   13/3%
   17/3%
   None of these
   Option A
   4/9* P = P *R /100 * R
   
    



5. Akansha divides Rs 4702 among X, Y, and Z, so that if the amounts being invested at 4% SI, the amounts received after 2, 3 and 4 yrs by X, Y, and Z respectively is equal. Find the share of Y?
   Rs 1556
   Rs 1450
   Rs 1655
   Rs 1750
   None of these
   Option A
   =1/[100+rt1] : 1/[100+rt2] : 1/[100+rt3]
   =1/[100+4*2] : 1/[100+4*3] : 1/[100+4*4]
   =1/108 : 1/112 : 1/116
   = 812 : 783 : 756
   So Y gets 783/(812+783+756) * 4702 = Rs 1566
   
    



6. What annual payment will give a debt of Rs 15,750 due 3 years with ROI being 5% p.a.?
   Rs 6500
   Rs 6000
   Rs 5000
   Rs 4500
   Rs 5500
   Option C
   Intrest = 100*A / [100*t + rt(t-1)/2]
   
    



7. Akansha borrowed Rs 2500 and some money from Banya and Caryl respectively at 7% rate. After 4 years Akansha pays a total of Rs 1120 as simple interest to Banya and Caryl. What is the sum borrowed from Caryl?
   Rs 1500
   Rs 1200
   Rs 1875
   Rs 1955
   None of these
   Option A
   2500*7*4/100 + y*7*4/100 = 1120
   
    



8. If the difference between SI and CI on some principal amount at 20% for 3 years is Rs. 48, then the principal amount is which of the following?
   Rs 350
   Rs 375
   Rs 415
   Rs 445
   None of these
   Option B
   
   
    



9. What principal invested for 2 years at 12% compounded annually will grow toRs.4390.4?
   Rs 3200
   Rs 3500
   Rs 3550
   Rs 3750
   Rs 3150
   Option B
   
   
    



10. Divide Rs. 3903 between Akansha and Banya, so that Akansha’s share at end of 7 years may equal to Banya’s share at end of 9 years, compound interest being at 4 percent?
    Rs 2145 and Rs 1825
    Rs 2028 and Rs 1875
    Rs 2020 and Rs 1750
    Rs 3050 and Rs 1950
    None of these
    Option B
    Dividing Rs. 3903 in the ratio of 676:625
    Akansha’s present share = 676 of Rs. 3903
    =(676+625)
    = Rs. 2028
    Banya’s present share = Rs. 3903 – Rs. 2028
    =Rs. 1875